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Simplifying 3(2x + -7) + 3x = 7x + -4(2x + 1) + 6 Reorder the terms: 3(-7 + 2x) + 3x = 7x + -4(2x + 1) + 6 (-7 * 3 + 2x * 3) + 3x = 7x + -4(2x + 1) + 6 (-21 + 6x) + 3x = 7x + -4(2x + 1) + 6 Combine like terms: 6x + 3x = 9x -21 + 9x = 7x + -4(2x + 1) + 6 Reorder the terms: -21 + 9x = 7x + -4(1 + 2x) + 6 -21 + 9x = 7x + (1 * -4 + 2x * -4) + 6 -21 + 9x = 7x + (-4 + -8x) + 6 Reorder the terms: -21 + 9x = -4 + 6 + 7x + -8x Combine like terms: -4 + 6 = 2 -21 + 9x = 2 + 7x + -8x Combine like terms: 7x + -8x = -1x -21 + 9x = 2 + -1x Solving -21 + 9x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + 9x + x = 2 + -1x + x Combine like terms: 9x + x = 10x -21 + 10x = 2 + -1x + x Combine like terms: -1x + x = 0 -21 + 10x = 2 + 0 -21 + 10x = 2 Add '21' to each side of the equation. -21 + 21 + 10x = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = 2 + 21 10x = 2 + 21 Combine like terms: 2 + 21 = 23 10x = 23 Divide each side by '10'. x = 2.3 Simplifying x = 2.3
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